complex vectors and matrices
(30 minutes to learn)
We can define complex vectors and matrices with properties closely analogous to their real-valued analogues. Complex matrices come up when dealing with eigendecompositions of non-symmetric matrices. They are also used in computing the fast Fourier transform.
This concept has the prerequisites:
- Know the definitions of the Hermitian operator and the complex dot product
- Why is the Hermitian operator used for complex matrices rather than the matrix transpose?
Core resources (read/watch one of the following)
→ MIT Open Courseware: Linear Algebra (2011)
Videos for an introductory linear algebra course focusing on numerical methods.
→ Introduction to Linear Algebra
An introductory linear algebra textbook with an emphasis on numerical methods.
Location: Section 10.2, "Hermitian and unitary matrices," up to "Hermitian matrices," pages 501-502
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